38-(2c+4)=(c+5)+c

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Solution for 38-(2c+4)=(c+5)+c equation:


Simplifying
38 + -1(2c + 4) = (c + 5) + c

Reorder the terms:
38 + -1(4 + 2c) = (c + 5) + c
38 + (4 * -1 + 2c * -1) = (c + 5) + c
38 + (-4 + -2c) = (c + 5) + c

Combine like terms: 38 + -4 = 34
34 + -2c = (c + 5) + c

Reorder the terms:
34 + -2c = (5 + c) + c

Remove parenthesis around (5 + c)
34 + -2c = 5 + c + c

Combine like terms: c + c = 2c
34 + -2c = 5 + 2c

Solving
34 + -2c = 5 + 2c

Solving for variable 'c'.

Move all terms containing c to the left, all other terms to the right.

Add '-2c' to each side of the equation.
34 + -2c + -2c = 5 + 2c + -2c

Combine like terms: -2c + -2c = -4c
34 + -4c = 5 + 2c + -2c

Combine like terms: 2c + -2c = 0
34 + -4c = 5 + 0
34 + -4c = 5

Add '-34' to each side of the equation.
34 + -34 + -4c = 5 + -34

Combine like terms: 34 + -34 = 0
0 + -4c = 5 + -34
-4c = 5 + -34

Combine like terms: 5 + -34 = -29
-4c = -29

Divide each side by '-4'.
c = 7.25

Simplifying
c = 7.25

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